For which of the following situations would the histogram of

For which of the following situations would the histogram of the sample mean (sample distribution) not be normally distributed (follow a normal curve)?

A) a random sample of 20 is drawn from a skewed population

B) random sample of 50 is drawn from a skewed population

C) a random sample of 20 is drawn from a bell-shaped population

D) a random sample of fifty is drawn from a bell-shaped population

Solution

Answer is (A), where population is not normal, and also, sample size is small (CLT does not hold)